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Questions › DSE › DSE 2018 › Q18
4 marks, −1Game Theory › Game theory and strategic behaviour › Normal-form games and dominanceHardabout 3 min

DSE 2018 Question 18: Game theory and strategic behaviour

Consider the game with row-player payoff first, column-player second: for rows U,M,DU, M, DU,M,D and columns L,M,RL, M, RL,M,R, the payoffs are UUU: (2,0),(3,3),(0,0)(2,0),(3,3),(0,0)(2,0),(3,3),(0,0); MMM: (1,−1),(0,0),(1,0)(1,-1),(0,0),(1,0)(1,−1),(0,0),(1,0); DDD: (4,−2),(2,2),(1,1)(4,-2),(2,2),(1,1)(4,−2),(2,2),(1,1). Which of the following statements is false?

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Consider the game with row-player payoff first, column-player second: for rows U, M, D and columns L, M, R, the payoffs are U: (2,0),(3,3),(0,0); M: (1,-1),(0,0),(1,0); D: (4,-2),(2,2),(1,1). Which of the following statements is false? (A) There is a Nash equilibrium of this game in which the column player plays a strictly dominated strategy (B) Column player has a strictly dominated strategy (C) Row player has a weakly dominated strategy (D) There is a Nash equilibrium of this game in which both players play weakly dominated strategies

Game theory and strategic behaviour has come up 61 times in 6 exams since 2008.

What this question tests

This question is on Normal-form games and dominance, part of Game theory and strategic behaviour in Game Theory.

Games in matrix form, and solving them by removing strategies that are never best.

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Question from the DSE 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.